nLab Jens Hoppe

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Selected writings

Introducing the Poisson bracket-formulation of the classical light-cone gauge Hamiltonian for the bosonic relativistic membrane and the corresponding matrix commutator regularization, and the identification of $\mathfrak{su}(n)$, as $n \to \infty$, with the Lie algebra of area-preserving diffeomorphisms of the 2-sphere:

• Jens Hoppe: Quantum theory of a massless relativistic surface and a two-dimensional bound state problem, PhD thesis, MIT (1982) [hdl:1721.1/15717, pdf]

On the regularized quantization of the supermembrane (the kappa-symmetric Green-Schwarz sigma-model for the M2-brane) to the BFSS matrix model:

• Bernard de Wit, Jens Hoppe, Hermann Nicolai, On the Quantum Mechanics of Supermembranes, Nucl. Phys. B305 (1988) 545. (pdf, pdf, spire:261702)

• Jens Hoppe, Membranes and Matrix Models (arXiv:hep-th/0206192)

On the BMN matrix model:

• Jens Hoppe. Ki-Myeong Lee, New BPS Configurations of BMN Matrix Theory, JHEP 0806:041, 2008 (arXiv:0712.3616)

On exact solutions to the (regularized) bosonic membrane/M2-brane sigma-model:

• Jens Hoppe: Exact algebraic M(em)brane solutions, Asian J. Math. 26 2 (2022) 253-256 [doi:10.4310/AJM.2022.v26.n2.a4, arXiv:2107.00569]

• Jens Hoppe: The fast non-commutative sharp drop, Physics Letters B 848 (2024) 138357 [doi:10.1016/j.physletb.2023.138357, arXiv:2302.13146]

Related entries

• brane

• sigma-model

category: people